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ArcCos






Mathematica Notation

Traditional Notation









Elementary Functions > ArcCos[z] > Transformations > Related transformations > Sums involving the direct function > Involving log(z)





http://functions.wolfram.com/01.13.16.0122.01









  


  










Input Form





ArcCos[x] + Log[y] == -2 I Pi (Floor[(-Arg[(I x + Sqrt[1 - x^2])^I] - Arg[y] + Pi)/(2 Pi)] + Floor[(Pi - Im[Log[y]])/(2 Pi)] + Floor[(Pi - Re[Log[I x + Sqrt[1 - x^2]]])/(2 Pi)]) + I (1 - (-1)^(Floor[-(Arg[(I x + Sqrt[1 - x^2])^I y + 1]/(2 Pi))] - Floor[-(Arg[(I x + Sqrt[1 - x^2])^I y]/(2 Pi))])) Pi - I (-1)^(Floor[-(Arg[(I x + Sqrt[1 - x^2])^I y]/Pi)] + Floor[Arg[(I x + Sqrt[1 - x^2])^I y - 1]/(2 Pi) - Arg[(I x + Sqrt[1 - x^2])^I y + 1]/(2 Pi) + 1/2]) ArcCos[((I x + Sqrt[1 - x^2])^(2 I) y^2 + 1)/((I x + Sqrt[1 - x^2])^I (2 y))] + Pi/2










Standard Form





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MathML Form







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<apply> <power /> <apply> <plus /> <apply> <times /> <imaginaryi /> <ci> x </ci> </apply> <apply> <power /> <apply> <plus /> <cn type='integer'> 1 </cn> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <power /> <ci> x </ci> <cn type='integer'> 2 </cn> </apply> </apply> </apply> <cn type='rational'> 1 <sep /> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 2 </cn> <imaginaryi /> </apply> </apply> </apply> <cn type='integer'> 1 </cn> </apply> <apply> <power /> <apply> <times /> <cn type='integer'> 2 </cn> <ci> y </ci> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </apply> </apply> <apply> <times /> <pi /> <apply> <power /> <cn type='integer'> 2 </cn> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02